Pith Number

pith:BDI64X2D

pith:2026:BDI64X2D5RWZR32R7JIMORMNFH

not attested not anchored not stored refs pending

A Bruhat order for Latin squares and alternating sign hypermatrices

Angela Carnevale, Cian O'Brien

arxiv:2605.25727 v1 · 2026-05-25 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDI64X2D5RWZR32R7JIMORMNFH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-26T02:04:52.324846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d1ee5f43ec6d98ef51fa50c7458d29cbed600d260f8dd16db4e57585b19194

Aliases

arxiv: 2605.25727 · arxiv_version: 2605.25727v1 · doi: 10.48550/arxiv.2605.25727 · pith_short_12: BDI64X2D5RWZ · pith_short_16: BDI64X2D5RWZR32R · pith_short_8: BDI64X2D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BDI64X2D5RWZR32R7JIMORMNFH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 08d1ee5f43ec6d98ef51fa50c7458d29cbed600d260f8dd16db4e57585b19194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33a2bdc5ce2ae41e414e76547f1a50063fbb87b4c2c40fb5715351d3ea5ca7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T11:35:06Z",
    "title_canon_sha256": "efc01a159b70b6066766af8872194ee8d4d46b47a28af6d3706df492200ee753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25727",
    "kind": "arxiv",
    "version": 1
  }
}